Find the area of surface that is generated by revolving the portion of the curve x = V64 – y² , – 2 < y<2 about the y-axis. 687 61n 64л 81n

Q: Compute the surface area of the cone generated by revolving c(t) = (8t + 5, 7t) about the x-axis for…

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Q: Find the area of the surface that is generated by revolving the portion of the curve y= x² between x…

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Q: Q4 Find the surface area of the plane x + y?from z=4 to z=9? (33M)

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Q: HW: Find the area of the surface generaled by revolving 3. x = y3, 0 sy s1 about y-axis.

A: Given  x=y3

Q: Evaluate y dS on the surface of the cylinder x2 +y? = 9 where 0 < z < 4.

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Q: Which of the following is the surface area of the surface generated by revolving the curve y = in…

A: We have to find

Q: Find the surface area generated by revolving the curve E: x(t) = 3t, y(t) = 2t |(0 < t< 1) about the…

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Q: x = 3t – t, y = 3t2, 0<t< 1

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Q: Given the curve x = a² - y² over the interval 0 ≤ y ≤ a/2, find the surface area of the solid formed…

A: Solution is given below:

Q: HW: Find the area of the surface generaled by revolving 1. Vy, 1 <y <8 about the x- axis. =DX

A: Find the attachment

Q: Find the surface area generated by revolving the curve C : x(t) = 3t, (0 < t < 1) y(t) = 2t about…

A: Use the formula for the surface Area when a parametric curve rotated about y-axis.

Q: find the surface about the X-axis for OsX L 2 by revolveng u= X area create d

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Q: Find the area of the surface generated by revolving the curve about the indicated axis. y = x3/9, 0…

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Q: 5. Let R be the region in the first quadrant within the circle z² + y? = 4, outside the circle (z –…

A: Region is in the first quadrant :-    Hence, region the region between these circles in above…

Q: Which of the following curves would generate equal surface area when revolved around x and y axes? y…

A: We have to check which curves would generate equal surface area revolved around x and y axis.

Q: Find the area of the surface that is generated by revolving the portion of the curve y= X between x=…

A: We can solve as follows

Q: y? - In(Vy), 1sys 5 about the x-axis is The area of the surface obtained by rotating the curve x =

A: Solve the following

Q: Find the area of the surface. The part of the surface z = xy that lies within the cylinder x2 + y² =…

A: Let z=f(x,y) is differential over the region R. Then surface area is A=∫∫R1+fx2(x,y)+fy2(x,y)dydx

Q: Find the surface area generated by rotating the given curve about the y-axis. x = et - t, y = 4et/2,…

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Q: Determine the surface area of the solid obtained by rotating y=v9-x from -2sxs2 about the x-axis. A…

A: Area of surface generated by rotating a curve y=f(x) from x=a to x=b about x-axis  A=∫ab2πydsWhere…

Q: Q4(a) Find the area of the surface generated by revolving the curve, x = /6y – y2 ; 2<y<5

A: Given the curvex=6y-y2    , 2≤y≤5we need to find the area by revolving the curve about y axis from…

Q: Find the surface arca of y = (1/3)r 10<x <1 revolved about the z-ax

A: Given: The equation is y = 13x3 , 0 ≤x≤1 revolved about the x - axis.

Q: Find the surface area generated by revolving the curve C:x(t) = 3t, y(t) = 2t (0 <t<1) %3D about the…

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Q: HW: Find the area of the surface generaled by revolving 3DVy, 1 <y<8 about the X- axis. 1. 3.

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: a) Find the surface area of the object obtained by rotating x = e2y , –1 <y <1 about the y – axis.

A: We have to find the surface area of the solid obtained by rotating the curve x=e2y about the y-…

Q: Find the area of the surface. The part of the surface z = xy that lies within the cylinder x² + y2 =…

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Q: Find the surface area generated b rotating the portion of the parabolic arc x = y^2 from x = 0 and x…

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Q: Find the area of the surface generated by revolving the curves about the indicated axis. 5) x = sin…

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Q: Determine the resulting surface area when the curve y = x is rotated about the y-axis in the…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Find the area of the surface generated by revolving the given curve about the y-axis from y = 0 to y…

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Q: Find the area of the surface generated when the given curve is revolved about the x-axis. y = 3x + 5…

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Q: 135 2. y = x³, y = x + 6, and 2y + 2 = 0 (Answer: s. u.) 4

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Q: Find the area of the surface generated by revolving the given curve about the y-axis. 8xy? = 2y6 +…

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Q: EX. Find the volune of the solid region lymg mside both the sphere Xtuf+2?= 402 and the cylmeder…

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Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = -x2 -…

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Q: Find the surface area of the surface resulting from revolving the cu y=x+2 on the interval [0,1]…

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Q: Find the area of the surface generated by revolving the given curve about the y-axis. 8zy = 2y + 1,…

A: A curve is given by, 8xy2=2y6+1 where 1≤y≤2. The objective is to find the area of the surface…

Q: 32. Find the area of the surface generated by rotating the portion of the curve y-2 from x= 0 to x =…

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Q: (b) Find the area of the surface obtained by rotating the region bounded by the curves 7 35xy 5y12+…

A: To find the area of the surface obtained by rotating the region bounded by the below curves about…

Q: Find the area of the surface generated by revolving the given curve about the y-axis. 8xy? = 2y6 +…

A: We need to find the surface integral.

Q: 5 st36. about x-axis is The area of the surface obtained by rotating the curve * = 3t, y = 48 – 4t O…

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Q: ind the exact area of the surface obtained by rotating the curve about the x-axis. y = V1 + ex, 0 <…

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Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y =x² - In(x),…

A: The derivative of a function gives the rate of change of it with respect to some other variable.…

Q: Find the area of the surface.The part of the surface  z = xy that lies within the cylinder x2 + y2 =…

A: Consider the formula for the surface area.Find Zx and Zy by partial differentiation .

Q: 30. Find the surface area generated when the portion of the curve y² = 12x from x = 0, x = 3 is…

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Q: *Q. ( 12 ), p. 410 : Find the area of the surface generated by revolving eУ + е-У the curve x = 0…

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Q: The area of the surface generated by revolving the line x = y from x= 0 to x=2 about the y-axis:…

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Q: 73. х %3D а сos'0, у%3Dasin'0, 0<0< п/2 0 < 0 < T/2

A: Given information: x=acos3θy=asin3θ0≤θ≤π2

Q: Find the area of the surface that is generated by revolving the portion of the curve y = x between x…

A: Given; y=x^2 between x=1 to x=2

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. x = 5 + 4y2, 1 s…

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